scholarly journals Shaped Beam Pattern Synthesis of Antenna Arrays Using Composite Differential Evolution with Eigenvector-Based Crossover Operator

2015 ◽  
Vol 2015 ◽  
pp. 1-10 ◽  
Author(s):  
Sotirios K. Goudos
Keyword(s):  
Differential Evolution ◽  
Antenna Arrays ◽  
Design Method ◽  
Differential Evolution Algorithm ◽  
Beam Pattern ◽  
Crossover Operator ◽  
Pattern Synthesis ◽  
Shaped Beam ◽  
Rotationally Invariant ◽  
Beam Patterns

This paper addresses the problem of designing shaped beam patterns with arbitrary arrays subject to constraints. The constraints could include the sidelobe level suppression in specified angular intervals, the mainlobe halfpower beamwidth, and the predefined number of elements. In this paper, we propose a new Differential Evolution algorithm, which combines Composite DE with an eigenvector-based crossover operator (CODE-EIG). This operator utilizes eigenvectors of covariance matrix of individual solutions, which makes the crossover rotationally invariant. We apply this novel design method to shaped beam pattern synthesis for linear and conformal arrays. We compare this algorithm with other popular algorithms and DE variants. The results show CODE-EIG outperforms the other DE algorithms in terms of statistical results and convergence speed.

scholarly journals MODIFIED DIFFERENTIAL EVOLUTION ALGORITHM FOR PATTERN SYNTHESIS OF ANTENNA ARRAYS

2013 ◽  
Vol 137 ◽  
pp. 371-388 ◽  
Author(s):  
Xin Li ◽  
Wen-Tao Li ◽  
Xiao-Wei Shi ◽  
Jing Yang ◽  
Jian-Feng Yu
Keyword(s):  
Differential Evolution ◽  
Antenna Arrays ◽  
Differential Evolution Algorithm ◽  
Pattern Synthesis ◽  
Evolution Algorithm

scholarly journals Pattern Synthesis of Linear Antenna Array Using Improved Differential Evolution Algorithm with SPS Framework

Sensors ◽  
2020 ◽  
Vol 20 (18) ◽  
pp. 5158
Author(s):  
Ruimeng Zhang ◽  
Yan Zhang ◽  
Jinping Sun ◽  
Qing Li
Keyword(s):  
Differential Evolution ◽  
Antenna Array ◽  
Antenna Arrays ◽  
Optimization Problem ◽  
Differential Evolution Algorithm ◽  
Linear Antenna ◽  
Pattern Synthesis ◽  
De Algorithm ◽  
Improved Differential Evolution Algorithm ◽  
Linear Antenna Arrays

In this paper, an improved differential evolution (DE) algorithm with the successful-parent-selecting (SPS) framework, named SPS-JADE, is applied to the pattern synthesis of linear antenna arrays. Here, the pattern synthesis of the linear antenna arrays is viewed as an optimization problem with excitation amplitudes being the optimization variables and attaining sidelobe suppression and null depth being the optimization objectives. For this optimization problem, an improved DE algorithm named JADE is introduced, and the SPS framework is used to solve the stagnation problem of the DE algorithm, which further improves the DE algorithm’s performance. Finally, the combined SPS-JADE algorithm is verified in simulation experiments of the pattern synthesis of an antenna array, and the results are compared with those obtained by other state-of-the-art random optimization algorithms. The results demonstrate that the proposed SPS-JADE algorithm is superior to other algorithms in the pattern synthesis performance with a lower sidelobe level and a more satisfactory null depth under the constraint of beamwidth requirement.

scholarly journals Asymmetric Shaped-Pattern Synthesis for Planar Antenna Arrays

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
T. M. Bruintjes ◽  
A. B. J. Kokkeler ◽  
G. J. M. Smit
Keyword(s):  
Antenna Arrays ◽  
Analytical Method ◽  
Direction Of Arrival Estimation ◽  
Planar Antenna ◽  
Pattern Synthesis ◽  
Shaped Beam ◽  
Single Output ◽  
Free Region ◽  
Beam Patterns ◽  
Shaped Pattern

A procedure to synthesize asymmetrically shaped beam patterns is developed for planar antenna arrays. As it is based on the quasi-analytical method of collapsed distributions, the main advantage of this procedure is the ability to realize a shaped (null-free) region with very low ripple. Smooth and asymmetrically shaped regions can be used for Direction-of-Arrival estimation and subsequently for efficient tracking with a single output (fully analog) beamformer.

scholarly journals Sparse Antenna Array Design for MIMO Radar Using Multiobjective Differential Evolution

2016 ◽  
Vol 2016 ◽  
pp. 1-12 ◽  
Author(s):  
Zhi-Kun Chen ◽  
Feng-Gang Yan ◽  
Xiao-Lin Qiao ◽  
Yi-Nan Zhao
Keyword(s):  
Differential Evolution ◽  
Antenna Array ◽  
Optimization Problem ◽  
Mean Squared Error ◽  
Differential Evolution Algorithm ◽  
Mimo Radar ◽  
Beam Pattern ◽  
Pattern Synthesis ◽  
Array Design ◽  
Second Stage

A two-stage design approach is proposed to address the sparse antenna array design for multiple-input multiple-output radar. In the first stage, the cyclic algorithm (CA) is used to establish a covariance matrix that satisfies the beam pattern approximation for a full array. In the second stage, a sparse antenna array with a beam pattern is designed to approximate the desired beam pattern. This paper focuses on the second stage. The optimization problem for the sparse antenna array design aimed at beam pattern synthesis is formulated, where the peak side lobe (PSL) is weakly constrained by the mean squared error. To solve this optimization problem, the differential evolution (DE) algorithm with multistrategy is introduced and PSL suppression is treated as an inequality constraint. However, in doing so, a new multiobjective optimization problem is created. To address this new problem, a multiobjective differential evolution algorithm based on Pareto technique is proposed. Numerical examples are provided to demonstrate the advantages of the proposed approach over state-of-the-art methods, including DE and genetic algorithm.

Low-Sidelobe Shaped-Beam Pattern Synthesis With Amplitude Constraints

2021 ◽  
pp. 1-1
Author(s):  
Zhipeng Lin ◽  
Haoquan Hu ◽  
Shiwen Lei ◽  
Ruiming Li ◽  
Jing Tian ◽  
...  
Keyword(s):  
Beam Pattern ◽  
Pattern Synthesis ◽  
Shaped Beam ◽  
Low Sidelobe

Shaped-Beam Pattern Synthesis Through the Construction of Weighted Generalized Rayleigh Quotient

2019 ◽  
Vol 28 (1) ◽  
pp. 207-214
Author(s):  
Yin Yang ◽  
Chuan Wan ◽  
Weixing Sheng ◽  
Yubing Han ◽  
Xiaofeng Ma
Keyword(s):  
Rayleigh Quotient ◽  
Beam Pattern ◽  
Pattern Synthesis ◽  
Shaped Beam ◽  
Generalized Rayleigh Quotient

scholarly journals Location Optimization for Square Array Antennas Using Differential Evolution Algorithm

2016 ◽  
Vol 2016 ◽  
pp. 1-7 ◽  
Author(s):  
Erkan Afacan
Keyword(s):  
Differential Evolution ◽  
Antenna Arrays ◽  
Differential Evolution Algorithm ◽  
Difference Sets ◽  
Location Optimization ◽  
Array Antennas ◽  
Evolution Algorithm ◽  
Thinned Array ◽  
Square Array

In recent works thinned arrays giving minimum peak sidelobe levels for planar square antenna arrays are obtained using Hadamard difference sets. In the current work thinned array configurations giving lower peak sidelobe levels than those given in the literature are obtained for square arrays of6×6,8×8,12×12, and16×16elements. Differential evolution algorithm is used in the determination of the antenna locations.

Multi-Objective Optimal Design of a Double Circular Gear Based on the Differential Evolution Algorithm

2014 ◽  
Vol 977 ◽  
pp. 365-369
Author(s):  
Li Mei Zou ◽  
Bo Guo ◽  
Xue Yi Qian
Keyword(s):  
Differential Evolution ◽  
Optimization Design ◽  
Design Method ◽  
Optimization Technique ◽  
Differential Evolution Algorithm ◽  
Research Process ◽  
Multi Objective Optimization ◽  
Design Quality ◽  
Multi Objective ◽  
Technical And Economic Indicators

In order to improve the comprehensive technical and economic indicators of a double circular gear, based on the conjugate principle and design method of the double circular gear, by use of the modified differential evolution multi-objective optimization technique and MATLAB computer simulation technology, constrained multi-objective optimization design of a double circular gear was done. According to the research process and results, by use of the improved differential evolutionary multi-objective optimization technique, the design cycle of product can be shorten effectively, the design quality of product can be improved.

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